Find the value of 5 9 - 15 36 - -5 6 -

The correct option is C 8 5 Given : (59÷1536)÷ ( 56) Let us first solve #160; (59÷1536) ⇒(59×3615) = 43 #160; ⇒43÷ 56 ⇒43×6 ...

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Byju's Answer

Standard VII

Mathematics

Integers

Find the valu...

Question

Find the value of $(\frac{5}{9} \div \frac{15}{36}) \div (\frac{- 5}{6})$ .

\frac{- 4}{3}

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\frac{3}{5}

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\frac{- 8}{5}

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\frac{- 3}{8}

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Solution

The correct option is C $\frac{- 8}{5}$
Given : $(\frac{5}{9} \div \frac{15}{36}) \div (\frac{- 5}{6})$
Let us first solve
$(\frac{5}{9} \div \frac{15}{36})$

$\Rightarrow (\frac{5}{9} \times \frac{36}{15}) = \frac{4}{3}$

$\Rightarrow \frac{4}{3} \div \frac{- 5}{6}$

$\Rightarrow \frac{4}{3} \times \frac{6}{- 5}$

$\Rightarrow \frac{- 8}{5}$
The value of $(\frac{5}{9} \div \frac{15}{36}) \div (\frac{- 5}{6})$ is $\frac{- 8}{5}$

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Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

$Name the multiplication property of rational numbers shown below: (i) \frac{3}{5} \times \frac{- 8}{9} = \frac{- 8}{9} \times \frac{3}{5} (i i) \frac{- 3}{4} \times (\frac{5}{7} \times \frac{- 8}{15}) = (\frac{- 3}{5} \times \frac{5}{7}) \times \frac{- 8}{15} (i i i) \frac{4}{5} \times (\frac{3}{- 8} + \frac{- 4}{7}) = \frac{4}{5} \times \frac{3}{- 8} + \frac{4}{5} \times \frac{- 4}{7} (i v) \frac{- 7}{5} \times \frac{5}{- 7} = 1 (v) \frac{8}{- 9} \times 1 = 1 \times \frac{8}{- 9} = \frac{8}{- 9} (v i) \frac{- 3}{4} \times 0 = 0$

Q. Find the value of

{log}_{3} 4. {log}_{4} 5. {log}_{5} 6. {log}_{6} 7. {log}_{7} 8. {log}_{8} 9

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Find the value of (59÷1536)÷(−56).

The correct option is C −85Given : (59÷1536)÷(−56)Let us first solve (59÷1536)⇒(59×3615)=43⇒43÷−56⇒43×6−5⇒−85The value of (59÷1536)÷(−56) is−85

Find the value of $(\frac{5}{9} \div \frac{15}{36}) \div (\frac{- 5}{6})$ .